5638434000 has 80 divisors (see below), whose sum is σ = 18178330560. Its totient is φ = 1503580800.

The previous prime is 5638433993. The next prime is 5638434017. The reversal of 5638434000 is 4348365.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463870 + ... + 475869.

It is an arithmetic number, because the mean of its divisors is an integer number (227229132).

Almost surely, 2^5638434000 is an apocalyptic number.

5638434000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5638434000 is an abundant number, since it is smaller than the sum of its proper divisors (12539896560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5638434000 is a wasteful number, since it uses less digits than its factorization.

5638434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939765 (or 939749 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5638434000 is about 75089.5065904684. The cubic root of 5638434000 is about 1779.8613282535.

The spelling of 5638434000 in words is "five billion, six hundred thirty-eight million, four hundred thirty-four thousand".